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Finding the Fourth Proportional to 679.86, 1,016.91 and 419.22

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Solution

The fourth proportional to 679.86, 1,016.91 and 419.22 is: 627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.86 : 1,016.91 = 419.22 : x
  2. Step 2: Convert to fraction form
    679.86/1,016.91 = 419.22/x
  3. Step 3: Cross multiply
    679.86x = 1,016.91 × 419.22
  4. Step 4: Simplify right side
    679.86x = 426,309.01
  5. Step 5: Solve for x
    x = 426,309.01/679.86
  6. Step 6: Final answer
    x = 627.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.